2578549248 has 320 divisors, whose sum is σ = 8610877440. Its totient is φ = 754790400.

The previous prime is 2578549247. The next prime is 2578549283. The reversal of 2578549248 is 8429458752.

2578549248 is a `hidden beast` number, since 2 + 5 + 78 + 549 + 24 + 8 = 666.

It is a super-2 number, since 2×2578549248² = 13297832448722731008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2578549194 and 2578549203.

It is not an unprimeable number, because it can be changed into a prime (2578549247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713711 + ... + 4714257.

It is an arithmetic number, because the mean of its divisors is an integer number (26908992).

Almost surely, 2^2578549248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578549248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305438720).

2578549248 is an abundant number, since it is smaller than the sum of its proper divisors (6032328192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2578549248 is a wasteful number, since it uses less digits than its factorization.

2578549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 594 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2578549248 is about 50779.4175626306. The cubic root of 2578549248 is about 1371.2768475008.

The spelling of 2578549248 in words is "two billion, five hundred seventy-eight million, five hundred forty-nine thousand, two hundred forty-eight".